There are two non-intersecting convex polygon strictly inside a circle. The problem is to draw a line such that the polygons are on the different side of the line , the area of the part containing the first polygon is minimum. How to solve this problem ? number of points <= 50000

Problem name: circular island Problem link : https://codeforces.net/gym/101370/attachments/download/5499/20092010-summer-petrozavodsk-camp-petr-mitrichev-contest-5-en.pdf